On the confining potential in 4D

Sanhaji

2005

Int. J. Mod. Phys. A

Following a recently proposed confinement generating mechanism, we provide a new string inspired model with a massive dilaton and a new dilaton coupling function [5]. By solving analytically the equations of motion, a new class of confining interquark potentials is derived which includes several popular potential forms given in the literature. keywords: Dilaton; confinement; quark potential. * correponding author:mchabab@ucam.ac.ma 0 Recently, the extension of gauge field theories by inclusion of dilatonic degrees of freedom has evoked considerable interest. Particularly, dilatonic Maxwell and Yang-Mills theories which, under some assumptions, possess stable and finite energy solutions [1]. Indeed, in theories with dilaton fields, the topological structure of the vacuum is drastically changed compared to the non dilatonic ones. It is therefore of great interest to investigate the vacuum solutions induced by r-dependent dilaton field, through a string inspired effective theory which may reproduce the main feature of strong interactions: quark confinement.Recall that the dilaton is an hypothetical scalar particle appearing in the spectrum of string theory and Kaluza-Klein type theories [2]. Along with its pseudo scalar companion, the

Section: The Modelmentioning

confidence: 98%

Confining Interquark Potentials From Nonabelian Gauge Theories Coupled to Dilaton

Sanhaji

2005

Int. J. Mod. Phys. A

“…By substituting F (φ) Eq. (3,4), the field equations were found too complicated to integrate analytically. Fortunatly, since the focus is on the long range behavior of the dilaton field and on how it modifies the Coulom phase, the analysis is restricted to the infrared region.…”

Section: Chabab-sanhaji Modelmentioning

confidence: 99%

On the Implications of a Dilaton in Gauge Theory

2007

Int. J. Mod. Phys. A

Some recent work on the implications of a dilaton in 4d gauge theories are revisited. In part I of this paper we see how an effective dilaton coupling to gauge kinetic term provides a simple attractive mechanism to generate confinement. In particular, we put emphasis on the derivation of confining analytical solutions and look into the problem how dilaton degrees of freedom modify Coulom potential and when a confining phase occurs. In part II, we solve the semi-relativistic wave equation, for Dick interquark potential using the Shifted l-expansion technique (SLET) in the heavy quarkonium sector. The results of this phenomenological analysis proves that these effective theories can be relevant to model quark confinement and may shed some light on confinement mechanism.

“…In other words, Coulomb spectrum is recovered if the effective charge did not run. Thereby the interquark potential reads as [4],…”

Section: The Modelmentioning

confidence: 99%

“…In this context, it was suggested in [3] that an effective coupling of a massive dilaton to the 4-dimensional gauge fields may provide an interesting mechanism wich accomodate both the Coulomb and confining phases. The derivation performed in [3,4] suggest a new scenario to generate color confinement which may be considered as a challenge to the mechanism based on monopole condensation.…”

Section: Introductionmentioning

confidence: 99%

Confinement Driven by Scalar Field in 4d Non Abelian Gauge Theories

AIP Conference Proceedings

2007

Abstract. We review some of the most recent work on confinement in 4d gauge theories with a massive scalar field (dilaton). Emphasis is put on the derivation of confining analytical solutions to the Coulomb problem versus dilaton effective couplings to gauge terms. It is shown that these effective theories can be relevant to model quark confinement and may shed some light on confinement mechanism. Moreover, the study of an interquark potential derived from Dick Model, in the heavy meson sector, proves that phenomenological investigation of this mechanism is more than justified and deserves more efforts.